Question

state all null and alternative hypotheses and use the appropriate test statistic. Please use Minitab, show step by step. Finally, draw your conclusions based on the Minitab output.

The intake of high doses of beta-carotene in food substances has been associated in some observational studies with a decreased incidence of cancer. A clinical trial is being planned to compare the incidence of cancer in a group of humans receiving beta-carotene. Now there are four commercially available beta-carotene capsules available on the market, 1) Solatene (30-mg capsules), 2) Roche (60-mg capsules), 3) BASF30 (30-mg capsules), 4) BASF60 (60-mg capsules). To test the efficacy of the four types of capsules, a small study was conducted by measuring the blood plasma beta-carotene concentration in 23 volunteers after one week. Analyze the results of this study to determine if there is a difference in plasma beta-carotene concentrations (mg/L). Use file BETACAR 2. Solatene is capsule 1, Roche is capsule 2, BASF (30-mg) is capsule 3, and BSAF (60-mg) is capsule 4 in the spreadsheet.

Capsule	betacar
1	116
1	146
1	200
1	180
1	142
1	106
2	110
2	114
2	100
2	92
2	212
2	94
3	162
3	198
3	208
3	160
3	88
4	182
4	234
4	230
4	152
4	64
4	72

Answer 1

Enter the data into Minitab.

Go to Stat > ANOVA > One-Way.

Select the first option.

Select the groups.

Click OK.

The output is:

The hypothesis being tested is:

H₀: µ₁ = µ₂ = µ₃ = µ₄

H_a: At least one means is not equal

The p-value is 0.557.

Since the p-value (0.557) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a difference in plasma beta-carotene concentrations (mg/L).